International Journal of Computer Applications |
Foundation of Computer Science (FCS), NY, USA |
Volume 89 - Number 5 |
Year of Publication: 2014 |
Authors: Do Van Nguyen, Koichi Yamada, Muneyuki Unehara |
10.5120/15495-4286 |
Do Van Nguyen, Koichi Yamada, Muneyuki Unehara . Rough Sets and Rule Induction in Imperfect Information Systems. International Journal of Computer Applications. 89, 5 ( March 2014), 1-8. DOI=10.5120/15495-4286
The original rough set theory deals with precise and complete data, while real applications frequently contain imperfect information. A typical imperfect data studied in rough set research is the missing values. Though there are many ideas proposed to solve the issue in the literature, the paper adopts a probabilistic approach, because it can incorporate other types of imperfect data including imprecise and uncertain values in a single approach. The paper first discusses probabilities of attribute values assuming different type of attributes in real applications, and proposes a generalized method of probability of matching. This probability is then used to define valued tolerance/similarity relations and to develop new rough set models based on the valued tolerance/similarity relations. An algorithm for deriving decision rules based on the rough set models is also studied and proposed.